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Question
a remote village on an island was devastated by a typhoon. farmland was flooded and the crops were killed by excess salt from the ocean. to prevent starvation, aid workers delivered containers of dried foods such as rice, beans, and raisins to the island. each container holds 82 kilograms (kg) of food: 36 kg of rice, 28 kg of beans, and 18 kg of raisins.
calorie counts for 100 grams (g) of dried foods are shown.
| food | raisins | beans | rice |
|---|---|---|---|
| calories | 300 | 352 | 356 |
upon arriving to the village with the food containers, aid workers are trying to estimate how long the food supply will last.
assuming the average adult needs to consume 2,000 calories per day, select how many people each container can feed in a day. select
100 120 140 180
Step1: Calculate total calories per container
For raisins: $\frac{18\times1000}{0.1}\times300 = 54000000$ calories (since 18 kg = 18000 g and for every 100 g there are 300 calories)
For beans: $\frac{28\times1000}{0.1}\times352= 98560000$ calories (28 kg = 28000 g)
For rice: $\frac{36\times1000}{0.1}\times356 = 128160000$ calories (36 kg = 36000 g)
Total calories per container $=54000000 + 98560000+128160000=280720000$ calories
Step2: Calculate number of people fed per day
If each person needs 2000 calories per day, then number of people fed per day $=\frac{280720000}{2000}=140360$ (approx. 140 people considering whole - number of people)
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